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Finding the Third Proportional to 911,823,696 and 2,150,333,784

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Solution

The third proportional to 911,823,696 and 2,150,333,784 is: 5,071,084,906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,823,696 : 2,150,333,784 = 2,150,333,784 : x
  2. Step 2: Convert to fraction form
    911,823,696/2,150,333,784 = 2,150,333,784/x
  3. Step 3: Cross multiply
    911,823,696x = 2,150,333,784 × 2,150,333,784
  4. Step 4: Simplify right side
    911,823,696x = 4,623,935,382,611,759,104
  5. Step 5: Solve for x
    x = 4,623,935,382,611,759,104/911,823,696
  6. Step 6: Final answer
    x = 5,071,084,906.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.